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2214020404024 = 23111319139725523
BaseRepresentation
bin100000001101111101111…
…001100101001100111000
321211122202212222212002121
4200031331321211030320
5242233303210412044
64413035033011024
7315646326631402
oct40157571451470
97748685885077
102214020404024
11783a62887050
122b9112b53a74
13130a204876b0
1479232a39b72
153c8d2265984
hex2037de65338

2214020404024 has 128 divisors (see below), whose sum is σ = 4915113799680. Its totient is φ = 921732134400.

The previous prime is 2214020404007. The next prime is 2214020404027. The reversal of 2214020404024 is 4204040204122.

2214020404024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2214020404024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214020404027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86733327 + ... + 86758849.

It is an arithmetic number, because the mean of its divisors is an integer number (38399326560).

Almost surely, 22214020404024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214020404024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457556899840).

2214020404024 is an abundant number, since it is smaller than the sum of its proper divisors (2701093395656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2214020404024 is a wasteful number, since it uses less digits than its factorization.

2214020404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2214020404024 its reverse (4204040204122), we get a palindrome (6418060608146).

The spelling of 2214020404024 in words is "two trillion, two hundred fourteen billion, twenty million, four hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 191 286 382 397 572 764 794 1144 1528 1588 2101 2483 3176 4202 4367 4966 5161 8404 8734 9932 10322 16808 17468 19864 20644 25523 27313 34936 41288 51046 54626 56771 75827 102092 109252 113542 151654 204184 218504 227084 280753 303308 331799 454168 561506 606616 663598 834097 985751 1123012 1327196 1668194 1971502 2246024 2654392 3336388 3649789 3943004 4874893 6672776 7299578 7886008 9749786 10132631 10843261 14599156 19499572 20265262 21686522 29198312 38999144 40530524 43373044 53623823 63373609 81061048 86746088 107247646 111458941 126747218 131724203 214495292 222917882 253494436 263448406 428990584 445835764 506988872 526896812 697109699 891671528 1053793624 1394219398 1448966233 1935332521 2788438796 2897932466 3870665042 5576877592 5795864932 7741330084 11591729864 15482660168 21288657731 25159322773 42577315462 50318645546 85154630924 100637291092 170309261848 201274582184 276752550503 553505101006 1107010202012 2214020404024